Answer:
.2
Step-by-step explanation:
Whenever we see "of," we know we have to multiply.
.05% = .0005 in decimal form, so
.0005 * 400 = .2
Answer:
.2
Step-by-step explanation:
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You work 40 hours a week at a factory and make $2.00 per piece you create. It takes you
1 hour to create 5 pieces, how much money do you make per week?
I have to show work for the problem.
Answer:
400
Step-by-step explanation:
1 hour = 5 pieces • $2
1 hour = $10 bcas each piece you make is $2
40 hours = $400 because you get $10 per week
You earn $400 per week
Answer:
$400
Step-by-step explanation:
S x H = (1 x 5 x 2) x 40
S x H = (1 x 10) x 40
S x H = 10 x 40
S = 400
S = $400 H = 40
The area of a circular window is 113.04 square inches. What is the diameter of the window? Use 3.14 for pi.
Answer: 12inches
Step-by-step explanation:
Area of a circle= 113.04square inches
Area of a circle =pir^2
Pi=3.14
R=?
So we are looking for the radius and from there we will get the diameter
Area=pir^2
113.04=3.14×r^2
R^2= 113.04/3.14
R^2=36
R=square root of 36
R= 6
Diameter =2r
Diameter = 2×6
Diameter = 12inches
Answer:
12 inches
Step-by-step explanation:
3.14 × r² = 113.04
r² = 36
r = 6
Diameter = 2r = 12
What is the first step in evaluating the expression 3 × (5 + 4) – 27 ÷ 9?
Step-by-step explanation:
According to BODMAS
the first way to evaluate the expression is starting from brackets.,
=3 * 9 -27 / 9
= 3 * 9 - 3
= 27- 3
=24
Answer:
Parenthesis.
Step-by-step explanation:
Parenthesis
Exponent
Multiply or
Divide
Add or
Subtract
PEMDAS is the order to solve expressions like so.
Two hamburgers and three cokes cost $10.50. Four hamburgers and four cokes cost $18.00. Find the cost of a hamburger and a coke.
Answer: hamburger $3.00
Coke $1.50
Step-by-step explanation:
2hamburgers & 3cokes= $10.50
4hamburgers & 4cokes= $18.00
Let hamburger represent H
And coke represent C
2H +3C= 10.50.......equation 1
4H+4C= 18.00.......equation 2
2H =10.50 -3C...........equation 3
The 4H can be rewriting as
2(2H) right
So substitute for the 4H
So we have,
2(2H) +4C= 18
Substitute for 2H
2(10.50 -3C) +4C =18
Open the bracket
21 -6C +4C= 18
21-2C= 18
-2C = 18-21
-2C = -3
Minus cancel minus
C= 3/2 = $1.5
Substitute for c in equation 1
2H+3C =10.50
2H+3(1.5)= 10.50
2H+4.5=10.5
2H= 10.5-4.5
2H =6
H= 6/2
H=$3
So
An hamburger cost $3.00
A coke cost $1.50
What is the value of x to the nearest whole number?
Answer:
65
Step-by-step explanation:
Use the formula: a²+b²=c²
63²=3969
16²=256
Add them = 4225 = c²
[tex]\sqrt{4225} = \sqrt{c^2}[/tex]
65 = c (or x in this case)
Answer:
17.96
Step-by-step explanation:
To find the hypotenuse we are will have to use Sine, since we are only given the degree and opposite leg. [tex]sin(degree)=\frac{Opposite}{Hypotenuse}[/tex]
[tex]sin(63)=\frac{16}{x}[/tex]
Let's cancel the x on the right side by multiplying both sides by x
sin(63)x = 16
Divide both sides by sin(63) [Or 0.866, depending on the type of calculator you have]
sin(63)x ÷ sin(63) = 16 ÷ sin(63)
x = 17.9572198
HELP.The grades students scored on the most recent math exam are shown on the histogram below. How many students took the exam? A. 100 B. 85 C. 95 D. 90
Which is not equal to 400
Answer:
399
Step-by-step explanation:
The only expression that does not equal 400 is c. 500 - 200.
How to determine the expression that is not equal to 400From the question, we have the following parameters that can be used in our computation:
a. 2 * 200
b. 800/2
c. 500 - 200
d. 300 + 100
Evaluating each of the options, we have the following
a. 2 * 200 = 400
b. 800/2 = 400
c. 500 - 200 = 300
d. 300 + 100 = 400
Hence, the only option that does not equal 400 is c. 500 - 200.
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Question
Which is not equal to 400
a. 2 * 200
b. 800/2
c. 500 - 200
d. 300 + 100
Find the volume of a pyramid with a square base, where the side length of the base is
8.3 in and the height of the pyramid is 7.3 in. Round your answer to the nearest
tenth of a cubic inch.
The volume of the pyramid is 167.6 cube inch (approx).
Step-by-step explanation:
Given,
Each length (l) of the base of the pyramid = 8.3 in
Height(h) of the pyramid = 7.3 in
To find the volume of the pyramid.
Formula
Volume of the pyramid = [tex]\frac{1}{3}[/tex]×area of the base×height
Area of the base = l²
Now,
The volume of the pyramid = [tex]\frac{1}{3}[/tex]×l²×h
= [tex]\frac{1}{3}[/tex]×8.3²×7.3 cube inch = 167.6 cube inch (approx)
The volume of the pyramid is calculated using the formula for a pyramid's volume, V = (1/3)bh, with a base area of 68.89 in² and height of 7.3 in, which gives a volume of approximately 167.5 in³.
Explanation:To find the volume of a pyramid with a square base, we can use the formula V = (1/3)bh, where b is the area of the base and h is the height of the pyramid. First, calculate the area of the square base by squaring the side length: b = s² = 8.3 in × 8.3 in = 68.89 in². Next, use this base area in the formula to get the volume: V = (1/3) × 68.89 in² × 7.3 in.
Doing the calculation, we find that V = (1/3) × 68.89 in² × 7.3 in = 167.4757 in³. To round to the nearest tenth, the volume of the pyramid is approximately 167.5 in³.
(x2 + 5x – 3) + (3x2 – 4x + 5)
(6x-3)+(7x-7)
Hope I helped :d
Answer:
[tex]4x^{2} +x+2[/tex]
A diagram of a small shed is shown below, find the volume of the composite figure. 3m 6m 5m 5m 8m
Answer:
27
Step-by-step explanation:
Put all the division problems that have an estimated quotient of 12 into the box.
8/0.95
18/2.2
47.6/3.9
10.6/1.89
71.9/6.5
123.4/9.2
157.4/16.4
The division problems 123.4/9.2 and 71.9/6.5 have an estimated quotient of 12 by considering 123.4 as 120, 9.2 as 10, 71.9 as 70, and 6.5 as 6.
Explanation:The division problems with an estimated quotient of around 12 will be the ones where you divide a number close to 120 by 10. In this case, it comes to be 123.4/9.2 and 71.9/6.5. To estimate the quotient, you can consider 123.4 as approximately 120 and 9.2 as approximately 10. Similarly, 71.9 can be considered as approximately 70 and 6.5 as approximately 6. When you divide these estimate numbers, both quotients are close to 12.
Estimation is a useful skill in Mathematics that allows you to simplify complex problems and get close to the exact answer. It's particularly helpful in situations where you only need a rough estimate and not the exact figure.
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What is the value of y? PLEASE HELP ASAP!
Answer:
y = 40 degrees can i have branliest
Step-by-step explanation:
All angles in a triangle add up to 180
180 - 50 = 130
3y + 10 = 130
3y = 120
y = 40
Answer:
c
Step-by-step explanation:
I need help plz only one question
5p coins weigh approximatly 3g wat would be the weight of £5 worth of 5p coins
Answer:
3g
Step-by-step explanation:
Since 5p=3g
5p=x
So let's solve by cross multiplying
5px=3g×5p
5px=15gp
Divide both sides by 5p
x=3g
Therefore the final answer is 3g
15. f(x) = (x - 2)
Find f(-2)
Answer:
f (-2)=(-2)-2
= -4
By putting value of x= -2 in f (x)
What’s the definition of the number i?
Answer:
B. i = √(−1)Step-by-step explanation:
When (i) is multiplied to itself it = -1
The number (i)is used for imaginary numbers.
Solve the system of equations
5x + 3y = -2
3x + 2y = -1
Answer:
Step-by-step explanation:
The average price of a gallon of milk is $3.31. If the price increases .88% each year , how much will a gallon of milk cost in 20 years?
Answer:
$3.94
Step-by-step explanation:
You will need to use the compound interest formula for this.
[tex]P(1+\frac{r}{n} )^{nt}[/tex]
P = initial balance
r = interest rate
n = number of times compounded annually
t = time
Your equation will look like this:
[tex]3.31(1+\frac{.0088}{1} )^{20}[/tex] = 3.94
A ranch experienced growth of its gopher population at a 1.5% annual rate, compounded continuously. At the end of a 3 year period, the population had reached a size of 78 gophers. How many gophers were on the ranch at the beginning of the 3 years according to the exponential growth function? Round your answer up to the nearest whole number, and do not include units.
Answer:
75 gophers (about)
Step-by-step explanation:
We will use continuous compounding interest formula:
[tex]P(t)=P_0e^{rt}[/tex]
Where
P(t) is final value (at time t)
P_0 is initial value
r is the compounding rate
t is the time period
Given:
P(t) = 78
r is 1.5% or 1.5/100 = 0.015
t is 3
We solve for P_0, what we want, using algebra as shown below:
[tex]P(t)=P_0e^{rt}\\78=P_0e^{(0.015)(3)}\\78=P_0e^{0.045}\\\frac{78}{P_0}=e^{0.045}\\\frac{78}{P_0}=1.0460\\P_0=74.57[/tex]
So, the initial population was 75 gophers.
The 75 gophers were on the ranch at the beginning of the 3 years according to the exponential growth function.
To solve this problem, we can use the following exponential growth function:
P(t) = P_0 * e^(rt)
where:
P(t) is the population at time t
P_0 is the initial population
r is the annual growth rate
t is the time in years
We know that the population after 3 years is 78 gophers, and the annual growth rate is 1.5%. We want to find the initial population, P_0.
So, we can plug in the following values into the exponential growth function:
P(3) = 78 = P_0 * e^(0.015 * 3)
Dividing both sides by e^(0.015 * 3), we get:
P_0 = 78 / e^(0.015 * 3)
Using a calculator, we can evaluate P_0 to be approximately 75.0.
Rounding up to the nearest whole number, we get an initial population of 75 gophers.
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What is a common binomial factor
If a taxi charges $0.68 per mile and $4 how far can you ride for $10? (round to 1 decimal
a farmer is constructing a regular fenced in pen. there is 120m of fencing. determine the maximum area of the pen and the dimensions that result in maximum area
Answer: 900 square meters. 30x30
Step-by-step explanation: a square is the biggest area you can have, so 120 divided by 4 is 30, and then 30 times 30 is 900.
Find the area of the shaded region
A. 1256
B. 425
C. 201
D. 531
E. 603
F. 249
(12m / 8m)
Answer:
A. 1256
Step-by-step explanation:
You have to find the radius of the shaded circle
So you can add 12 + 8 = 20
Or you can find the diameter of the two circles. The diameter of the first circle is 12 + 12 = 24 and the second circle is 8 + 8 = 16 + 20 + 40 is the diameter of the shaded circle. Since radius is half of diameter 40 ÷ 2 = 20
So now since you know the radius of the shaded circle you can find the area
A = πr²
A = 3.14 x 20²
A = 3.14 x 400
A = 1256
The diameter of a circle is 7 feet. Find the radius
Answer:
3.5 feet
Step-by-step explanation:
Diameter = 7 feet
Radius = Diameter × [tex]\frac{1}{2}[/tex]
Radius = [tex]\frac{7}{2}[/tex] = 3.5 feet
What number makes the equation true? Enter the answer in the box.
24-
=4
A town has a population of 17000 and grows at 3% every year. To the nearest year, how long will it be until the population will reach 20400
Answer:
The population will reach 20,400 after 6 years.
Step-by-step explanation:
Exponential function:
[tex]y(t)=y_0(1+r)^t[/tex]
y(t)= Population after t years
[tex]y_0[/tex] = initial population
r= rate of grow
t= time.
A town has a population of 17,000 and grows at a rate 3% every year.
y(t)= 20,400, [tex]y_0[/tex] = 17,000, r=3%=0.03, t=?
[tex]20,400=17,000(1+0.03)^t[/tex]
[tex]\Rightarrow \frac{20,400}{17,000}=(1.03)^t[/tex]
[tex]\Rightarrow \frac{102}{85}=(1.03)^t[/tex]
Taking ln function both sides
[tex]\Rightarrow ln|\frac{102}{85}|=ln|(1.03)^t|[/tex]
[tex]\Rightarrow ln|\frac{102}{85}|=t\ ln|(1.03)|[/tex]
[tex]\Rightarrow t=\frac{ln|\frac{102}{85}|}{\ ln|(1.03)|}[/tex]
⇒ t = 6 year.
The population will reach 20,400 after 6 years.
Answer:
6
Step-by-step explanation:
deltamath
how do you write 2/16 as a percent?
Answer:
[tex]\huge\boxed{\dfrac{2}{16}=12.5\%}[/tex]
Step-by-step explanation:
[tex]p\%=\dfrac{p}{100}\to p=p\cdot100\%\\\\\dfrac{2}{16}=\dfrac{2:2}{16:2}=\dfrac{1}{8}\\\\\dfrac{1}{8}=\dfrac{1}{8}\cdot100\%=\dfrac{100}{8}\%=12.5\%\\\\\text{Other method.}\\\\\dfrac{1}{8}=\dfrac{1\cdot125}{8\cdot125}=\dfrac{125}{1000}=\dfrac{125:10}{1000:10}=\dfrac{12.5}{100}=12.5\%[/tex]
Please help me...
What is the function that matches the description.
A sine function whose amplitude is 5 and Period is 12.
Answer:
Last one
Step-by-step explanation:
f(x) = Asin(Bx) + C
C = 0
A = 5
B = 2pi/12 = pi/6
f(x) = 5 sin[(pi/6)x]
HELP ASAP
What are the square roots of 36 /100?
sqrt(36/100) = +-6/10
You find the square root of the numerator and the denominator.
Which expression is equivalent to sine StartFraction 7 pi Over 6 EndFraction?
Answer:
The answer is D: sin 11pi/6
<3
Step-by-step explanation:
The expression that is equivalent to the given expression is Sin(11π/6).
The given trigonometric expression is: [tex]Sin \frac{7\pi }{6}[/tex]
[tex]Sin\frac{7\pi }{6}[/tex] can be written as [tex]Sin(\pi +\frac{\pi }{6} )[/tex]
What is the value of Sin(π+θ)?The value of [tex]Sin(\pi +\theta)[/tex] is [tex]-Sin\theta[/tex].
So, [tex]Sin(\pi +\frac{\pi }{6} )=-Sin\frac{\pi }{6}[/tex]
We know that
[tex]Sin(2\pi -\theta)=-Sin\theta[/tex]
Or, [tex]-Sin\theta=Sin(2\pi -\theta)[/tex]
So, [tex]-Sin\frac{\pi }{6} =Sin(2\pi -\frac{\pi }{6} )[/tex]
[tex]-Sin\frac{\pi }{6} =Sin\frac{11\pi }{6}[/tex]
So, the required expression is [tex]Sin\frac{11\pi }{6}[/tex].
Therefore, the expression that is equivalent to the given expression is Sin(11π/6).
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